Hm. Now that I think about it, both of those words are actually really bad for being used in a sincere apology. The salient points of an apology are (1) "I own

Hm. Now that I think about it, both of those words are actually really bad for being used in a sincere apology. The salient points of an apology are (1) "I own this action, and this action was wrong and I understand why" and (2) "These are my actions in response and in recompense". Neither of those call for saying, "I'm sorry" or "I apologize" and saying either seems to detract a bit. I could be wrong? It's interesting to think about.